In three-dimensional geometry, skew lines are two lines that do not intersect and are not parallel. A simple example of a pair of skew lines is the pair of linesthrough opposite edges of a regular tetrahedron.
No. The faces of a tetrahedron are equilateral triangles, but none of the faces is parallel to another one of the faces -- they could not be parallel, since by the definition of a tetrahedron, all the faces intersect(!) and parallel planes do not intersect.
In solid geometry, skew lines are two lines that do not intersect but are not parallel. Equivalently, they are lines that are not both in the same plane. A simple example of a pair of skew lines is the pair of lines through opposite edges of a regular tetrahedron (or other non-degenerate tetrahedron). Lines that are coplanar either intersect or are parallel, so skew lines exist only in three or more dimensions.
A square has 2 pairs of opposite parallel lines.
There cannot be parallel lines in any [plane] triangles.
A tetrahedron has 6 vertices that are all nonparallel.Therefore, a tetrahedron has 0 parallel lines.
None.
0 lines
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In solid geometry, skew lines are two lines that do not intersect but are not parallel. Equivalently, they are lines that are not both in the same plane. A simple example of a pair of skew lines is the pair of lines through opposite edges of a regular tetrahedron (or other non-degenerate tetrahedron). Lines that are coplanar either intersect or are parallel, so skew lines exist only in three or more dimensions.
No.
In three-dimensional geometry, skew lines are two lines that do not intersect and are not parallel. A simple example of a pair of skew lines is the pair of linesthrough opposite edges of a regular tetrahedron.
No.
No. The faces of a tetrahedron are equilateral triangles, but none of the faces is parallel to another one of the faces -- they could not be parallel, since by the definition of a tetrahedron, all the faces intersect(!) and parallel planes do not intersect.
In solid geometry, skew lines are two lines that do not intersect but are not parallel. Equivalently, they are lines that are not both in the same plane. A simple example of a pair of skew lines is the pair of lines through opposite edges of a regular tetrahedron (or other non-degenerate tetrahedron). Lines that are coplanar either intersect or are parallel, so skew lines exist only in three or more dimensions.
A triangle can have no parallel lines.
it has too parallel lines!